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• W2565584316 abstract "Abstract We study some qualitative behaviour of a modified discrete-time host–parasitoid model. Modification of classical Nicholson–Bailey model is considered by introducing Pennycuick growth function for the host population. Furthermore, the existence and uniqueness of positive equilibrium point of proposed system is investigated. We prove that the positive solutions of modified system are uniformly bounded and the unique positive equilibrium point is locally asymptotically stable under certain parametric conditions. Moreover, it is also investigated that system undergoes Neimark–Sacker bifurcation by using standard mathematical techniques of bifurcation theory. Complexity and chaotic behaviour are confirmed through the plots of maximum Lyapunov exponents. In order to stabilise the unstable steady state, the feedback control strategy is introduced. Finally, in order to support theoretical discussions, numerical simulations are provided." @default.
• W2565584316 created "2017-01-06" @default.
• W2565584316 creator A5024827048 @default.
• W2565584316 creator A5054362583 @default.
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• W2565584316 date "2016-12-19" @default.
• W2565584316 modified "2023-09-26" @default.
• W2565584316 title "Neimark-Sacker Bifurcation and Chaotic Behaviour of a Modified Host–Parasitoid Model" @default.
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• W2565584316 doi "https://doi.org/10.1515/zna-2016-0335" @default.
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